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Finding the Fourth Proportional to 768.23, 1,059.73 and 502.58

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Solution

The fourth proportional to 768.23, 1,059.73 and 502.58 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.23 : 1,059.73 = 502.58 : x
  2. Step 2: Convert to fraction form
    768.23/1,059.73 = 502.58/x
  3. Step 3: Cross multiply
    768.23x = 1,059.73 × 502.58
  4. Step 4: Simplify right side
    768.23x = 532,599.10
  5. Step 5: Solve for x
    x = 532,599.10/768.23
  6. Step 6: Final answer
    x = 693.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.